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Two bodies of 6kg and 4kg masses have th...

Two bodies of `6kg` and `4kg` masses have their velocity `5hati - 2 hat j + 10 hat k` and `10hat i - 2 hat j + 5 hat k` respectively. Then, the velocity of their centre of mass is

A

`5hat(i) + 2hat(j) - 8hat(k)`

B

`7hat(i)+2hat(j)-8hat(k)`

C

`7hat(i) -2hat(j) +8hat(k)`

D

`5hat(i)-2hat(j)+8hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
`bar(v)_(cm) = (m_(1)bar(v)_(1)+m_(2)bar(v)_(2))/(m_(1)+m_(2))`
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - I (C.W)
  1. Two bodies of different masses 2kg and 4kg are moving with velocities ...

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  2. If two particles of masses 3kg and 6kg which are at rest are separated...

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  3. Two bodies of 6kg and 4kg masses have their velocity 5hati - 2 hat j +...

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  4. The angular velocity of a rotating body is vec omega = 4 hat i + hat j...

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  5. The angle between the vectors (hat i + hat j + hat k) and ( hat i - ha...

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  6. The average angular velocity of the seconds hand of a watch if the sec...

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  7. The angular displacement of a particle is given by theta =t^3 + t^2 + ...

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  8. A body rotating with uniform angular acceleration covers 100 pi (radia...

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  9. A body rotates about a fixed axis with an angular acceleration of 3 ra...

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  10. A wheel starts from rest and acquires an angular velocity of 60 rad//...

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  11. Two moving particles P and Q are 10 apart at any point . Velocity o...

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  12. Two particle move in concentio cireles of radii r(1) and r(2) such tha...

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  13. A stationary wheel starts rotating about its own axis at uniform rate ...

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  14. A table fan , rotating at a speed of 2400 rpm is switched off and th...

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  15. If vec(F) = 2hat(i) - 3hat(j) N and vec(r ) = 3hat(i) + 2hat(j) m t...

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  16. A door 1.6 m wide requires a force of 1 N to be applied at the free an...

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  17. A weightless rod is acted on by upward parallel forces of 2 N and 4N e...

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  18. The mass of a uniform circular ring of radius 0.2m is 0.1kg. Calcuate ...

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  19. Two bodies of mass 1 kg and 2 kg are attached to the ends of a 2 me...

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  20. If the radius of gyration of a solid disc of mass 10 kg about an axis ...

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